Two state terrorism charges against Luigi Mangione, who is accused in the fatal shooting of UnitedHealthcare’s chief executive last year, were dismissed on Tuesday, including one that charged him with first-degree murder.

The judge overseeing the case, Gregory Carro, said he had found the evidence behind the charges “legally insufficient.” Mr. Mangione, 27, is still charged with second-degree murder.

The shooting of the executive, Brian Thompson, in Midtown Manhattan in December was one of a flurry of high-profile killings and attempted killings that have swept through American public life.

This is a developing story and will be updated.